{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 方法大全"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import pi, cos, sqrt, acos\n",
    "from matplotlib import *\n",
    "import matplotlib.pyplot as plt\n",
    "from draw3d import *\n",
    "from vector_drawing import *\n",
    "from draw2d import *\n",
    "def add(*vectors):\n",
    "    # 将多个三维向量的x, y, z相加\n",
    "    by_coordinate = zip(*vectors)\n",
    "    coordinate_sums = [sum(coords) for coords in by_coordinate]\n",
    "    return tuple(coordinate_sums)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4.69041575982343, 2.158798930342464, 0.7853981633974483)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import asin,acos,atan2,sqrt\n",
    "def to_polar(vector):\n",
    "    # 将笛卡尔坐标转换为极坐标（三维）\n",
    "    x, y = vector[0], vector[1]\n",
    "    y, z = vector[1], vector[2]\n",
    "    angle1 = atan2(y,x)\n",
    "    angle2 = atan2(z,y)\n",
    "    return (length(vector), angle1, angle2)\n",
    "to_polar((-2, 3, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def to_cartesian(polar_vector):\n",
    "    # 将极坐标转换为笛卡尔坐标\n",
    "    length, angle = polar_vector[0], polar_vector[1]\n",
    "    return (length*cos(angle), length*sin(angle))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 4, 6)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def scale_1(scalar, vector):\n",
    "    # 向量乘以标量\n",
    "    if len(vector) == 2:\n",
    "        return (scalar*vector[0], scalar*vector[1])\n",
    "    elif len(vector) == 3:\n",
    "        return (scalar*vector[0], scalar*vector[1], scalar*vector[2])\n",
    "scale(2, (1, 2, 3))        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 2, 2)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def scale(scalar, vector):\n",
    "    # 向量乘以标量（方法2）\n",
    "    return tuple(scalar*i for i in vector)\n",
    "scale(2, (1, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import sqrt\n",
    "def length(v):\n",
    "    # 计算向量的模\n",
    "    return sqrt(sum([coord **2 for coord in v]))\n",
    "    \n",
    "length((3, 4, 12))\n",
    "s = 1/length((-1, -1, 2))\n",
    "scale(s, (-1, -1, 2))\n",
    "length(scale(s, (-1, -1, 2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2, 2, 1)\n",
      "(4, 4, 2)\n",
      "(6, 3, 2)\n",
      "(6, 6, 3)\n",
      "(7, 4, 4)\n",
      "(7, 6, 6)\n",
      "(8, 4, 1)\n",
      "(8, 8, 4)\n",
      "(9, 6, 2)\n",
      "(10, 10, 5)\n",
      "(11, 10, 2)\n",
      "(12, 4, 3)\n",
      "(12, 6, 4)\n",
      "(12, 9, 8)\n",
      "(12, 12, 1)\n",
      "(12, 12, 6)\n",
      "(14, 5, 2)\n",
      "(14, 8, 8)\n",
      "(14, 12, 12)\n",
      "(14, 14, 7)\n",
      "(15, 10, 6)\n",
      "(16, 8, 2)\n",
      "(16, 11, 8)\n",
      "(16, 13, 4)\n",
      "(16, 15, 12)\n",
      "(16, 16, 8)\n",
      "(17, 6, 6)\n",
      "(18, 6, 1)\n",
      "(18, 9, 6)\n",
      "(18, 12, 4)\n",
      "(18, 13, 6)\n",
      "(18, 14, 3)\n",
      "(18, 18, 9)\n",
      "(19, 8, 4)\n",
      "(20, 5, 4)\n",
      "(20, 12, 9)\n",
      "(20, 20, 10)\n",
      "(20, 20, 17)\n",
      "(21, 12, 12)\n",
      "(21, 16, 12)\n",
      "(21, 18, 14)\n",
      "(21, 18, 18)\n",
      "(22, 6, 3)\n",
      "(22, 14, 7)\n",
      "(22, 20, 4)\n",
      "(22, 21, 6)\n",
      "(22, 22, 11)\n",
      "(23, 10, 10)\n",
      "(23, 14, 2)\n",
      "(24, 8, 6)\n",
      "(24, 12, 3)\n",
      "(24, 12, 8)\n",
      "(24, 12, 11)\n",
      "(24, 16, 3)\n",
      "(24, 18, 16)\n",
      "(24, 24, 2)\n",
      "(24, 24, 12)\n",
      "(24, 24, 23)\n",
      "(25, 10, 2)\n",
      "(25, 20, 8)\n",
      "(26, 7, 2)\n",
      "(26, 18, 15)\n",
      "(26, 22, 19)\n",
      "(26, 26, 13)\n",
      "(27, 14, 6)\n",
      "(27, 18, 6)\n",
      "(27, 24, 8)\n",
      "(28, 10, 4)\n",
      "(28, 16, 7)\n",
      "(28, 16, 16)\n",
      "(28, 17, 4)\n",
      "(28, 21, 12)\n",
      "(28, 24, 3)\n",
      "(28, 24, 24)\n",
      "(28, 28, 14)\n",
      "(29, 22, 14)\n",
      "(29, 26, 2)\n",
      "(29, 28, 20)\n",
      "(30, 6, 5)\n",
      "(30, 15, 10)\n",
      "(30, 17, 6)\n",
      "(30, 18, 1)\n",
      "(30, 20, 12)\n",
      "(30, 25, 18)\n",
      "(30, 30, 7)\n",
      "(30, 30, 15)\n",
      "(31, 8, 8)\n",
      "(31, 24, 12)\n",
      "(32, 7, 4)\n",
      "(32, 8, 1)\n",
      "(32, 16, 4)\n",
      "(32, 22, 16)\n",
      "(32, 24, 9)\n",
      "(32, 26, 8)\n",
      "(32, 30, 24)\n",
      "(32, 32, 16)\n",
      "(33, 10, 6)\n",
      "(33, 24, 4)\n",
      "(33, 30, 6)\n",
      "(34, 12, 12)\n",
      "(34, 14, 13)\n",
      "(34, 19, 2)\n",
      "(34, 27, 18)\n",
      "(34, 31, 22)\n",
      "(34, 34, 17)\n",
      "(35, 14, 10)\n",
      "(35, 20, 20)\n",
      "(35, 28, 4)\n",
      "(35, 30, 30)\n",
      "(36, 8, 3)\n",
      "(36, 12, 2)\n",
      "(36, 12, 9)\n",
      "(36, 18, 12)\n",
      "(36, 24, 8)\n",
      "(36, 24, 23)\n",
      "(36, 26, 12)\n",
      "(36, 27, 24)\n",
      "(36, 28, 6)\n",
      "(36, 28, 27)\n",
      "(36, 31, 12)\n",
      "(36, 32, 9)\n",
      "(36, 33, 4)\n",
      "(36, 36, 3)\n",
      "(36, 36, 18)\n",
      "(37, 20, 16)\n",
      "(37, 36, 12)\n",
      "(38, 16, 8)\n",
      "(38, 18, 9)\n",
      "(38, 21, 18)\n",
      "(38, 27, 6)\n",
      "(38, 31, 14)\n",
      "(38, 34, 1)\n",
      "(38, 37, 34)\n",
      "(38, 38, 19)\n",
      "(39, 12, 4)\n",
      "(39, 18, 2)\n",
      "(40, 10, 8)\n",
      "(40, 16, 13)\n",
      "(40, 19, 8)\n",
      "(40, 20, 5)\n",
      "(40, 24, 15)\n",
      "(40, 24, 18)\n",
      "(40, 32, 25)\n",
      "(40, 40, 7)\n",
      "(40, 40, 20)\n",
      "(40, 40, 34)\n",
      "(41, 24, 12)\n",
      "(41, 28, 28)\n",
      "(41, 30, 30)\n",
      "(42, 7, 6)\n",
      "(42, 9, 2)\n",
      "(42, 15, 6)\n",
      "(42, 18, 11)\n",
      "(42, 21, 2)\n",
      "(42, 21, 14)\n",
      "(42, 24, 24)\n",
      "(42, 30, 19)\n",
      "(42, 32, 24)\n",
      "(42, 35, 6)\n",
      "(42, 36, 28)\n",
      "(42, 36, 36)\n",
      "(42, 39, 14)\n",
      "(42, 41, 6)\n",
      "(42, 42, 21)\n",
      "(42, 42, 31)\n",
      "(43, 18, 6)\n",
      "(43, 36, 24)\n",
      "(43, 38, 26)\n",
      "(44, 8, 5)\n",
      "(44, 12, 6)\n",
      "(44, 27, 12)\n",
      "(44, 28, 14)\n",
      "(44, 28, 23)\n",
      "(44, 32, 17)\n",
      "(44, 40, 8)\n",
      "(44, 40, 35)\n",
      "(44, 42, 12)\n",
      "(44, 44, 22)\n",
      "(45, 26, 18)\n",
      "(45, 30, 10)\n",
      "(45, 30, 18)\n",
      "(45, 36, 20)\n",
      "(46, 17, 14)\n",
      "(46, 20, 20)\n",
      "(46, 22, 1)\n",
      "(46, 28, 4)\n",
      "(46, 30, 3)\n",
      "(46, 37, 22)\n",
      "(46, 43, 2)\n",
      "(46, 45, 30)\n",
      "(46, 46, 23)\n",
      "(47, 14, 14)\n",
      "(47, 28, 16)\n",
      "(47, 32, 4)\n",
      "(48, 9, 4)\n",
      "(48, 16, 12)\n",
      "(48, 19, 12)\n",
      "(48, 21, 8)\n",
      "(48, 24, 6)\n",
      "(48, 24, 16)\n",
      "(48, 24, 22)\n",
      "(48, 29, 24)\n",
      "(48, 32, 6)\n",
      "(48, 33, 24)\n",
      "(48, 36, 11)\n",
      "(48, 36, 25)\n",
      "(48, 36, 32)\n",
      "(48, 39, 12)\n",
      "(48, 39, 20)\n",
      "(48, 44, 33)\n",
      "(48, 45, 36)\n",
      "(48, 45, 40)\n",
      "(48, 48, 4)\n",
      "(48, 48, 24)\n",
      "(48, 48, 46)\n",
      "(49, 10, 10)\n",
      "(49, 14, 2)\n",
      "(49, 28, 8)\n",
      "(49, 28, 28)\n",
      "(49, 42, 18)\n",
      "(49, 42, 42)\n",
      "(50, 10, 1)\n",
      "(50, 20, 4)\n",
      "(50, 30, 9)\n",
      "(50, 33, 30)\n",
      "(50, 37, 10)\n",
      "(50, 38, 5)\n",
      "(50, 40, 16)\n",
      "(50, 41, 38)\n",
      "(50, 42, 15)\n",
      "(50, 50, 25)\n",
      "(51, 12, 8)\n",
      "(51, 18, 10)\n",
      "(51, 18, 18)\n",
      "(51, 42, 26)\n",
      "(51, 46, 18)\n",
      "(51, 48, 32)\n",
      "(52, 14, 4)\n",
      "(52, 17, 16)\n",
      "(52, 23, 4)\n",
      "(52, 24, 21)\n",
      "(52, 36, 15)\n",
      "(52, 36, 30)\n",
      "(52, 44, 11)\n",
      "(52, 44, 38)\n",
      "(52, 52, 26)\n",
      "(53, 26, 22)\n",
      "(53, 34, 2)\n",
      "(53, 44, 4)\n",
      "(54, 10, 3)\n",
      "(54, 18, 3)\n",
      "(54, 22, 9)\n",
      "(54, 23, 6)\n",
      "(54, 27, 18)\n",
      "(54, 28, 12)\n",
      "(54, 33, 22)\n",
      "(54, 35, 30)\n",
      "(54, 36, 12)\n",
      "(54, 39, 18)\n",
      "(54, 42, 9)\n",
      "(54, 42, 19)\n",
      "(54, 45, 10)\n",
      "(54, 46, 3)\n",
      "(54, 47, 42)\n",
      "(54, 48, 16)\n",
      "(54, 54, 27)\n",
      "(55, 38, 34)\n",
      "(55, 44, 40)\n",
      "(55, 46, 22)\n",
      "(55, 50, 10)\n",
      "(56, 8, 7)\n",
      "(56, 20, 8)\n",
      "(56, 21, 12)\n",
      "(56, 24, 3)\n",
      "(56, 28, 7)\n",
      "(56, 29, 28)\n",
      "(56, 32, 14)\n",
      "(56, 32, 32)\n",
      "(56, 34, 8)\n",
      "(56, 35, 20)\n",
      "(56, 37, 16)\n",
      "(56, 40, 5)\n",
      "(56, 42, 24)\n",
      "(56, 48, 6)\n",
      "(56, 48, 48)\n",
      "(56, 49, 32)\n",
      "(56, 53, 52)\n",
      "(56, 55, 20)\n",
      "(56, 56, 17)\n",
      "(56, 56, 28)\n",
      "(57, 14, 6)\n",
      "(57, 24, 12)\n",
      "(57, 24, 20)\n",
      "(57, 36, 28)\n",
      "(57, 44, 12)\n",
      "(57, 54, 46)\n",
      "(58, 9, 6)\n",
      "(58, 22, 11)\n",
      "(58, 30, 15)\n",
      "(58, 33, 6)\n",
      "(58, 44, 28)\n",
      "(58, 52, 4)\n",
      "(58, 56, 40)\n",
      "(58, 58, 29)\n",
      "(59, 22, 2)\n",
      "(59, 32, 16)\n",
      "(59, 48, 12)\n",
      "(60, 12, 10)\n",
      "(60, 15, 12)\n",
      "(60, 20, 15)\n",
      "(60, 24, 7)\n",
      "(60, 30, 20)\n",
      "(60, 34, 12)\n",
      "(60, 36, 2)\n",
      "(60, 36, 27)\n",
      "(60, 40, 24)\n",
      "(60, 40, 27)\n",
      "(60, 45, 40)\n",
      "(60, 48, 5)\n",
      "(60, 50, 36)\n",
      "(60, 51, 32)\n",
      "(60, 55, 36)\n",
      "(60, 59, 12)\n",
      "(60, 60, 5)\n",
      "(60, 60, 14)\n",
      "(60, 60, 30)\n",
      "(60, 60, 47)\n",
      "(60, 60, 51)\n",
      "(61, 28, 16)\n",
      "(61, 32, 4)\n",
      "(61, 58, 22)\n",
      "(62, 10, 5)\n",
      "(62, 11, 2)\n",
      "(62, 16, 16)\n",
      "(62, 34, 25)\n",
      "(62, 41, 10)\n",
      "(62, 48, 24)\n",
      "(62, 50, 35)\n",
      "(62, 54, 39)\n",
      "(62, 58, 19)\n",
      "(62, 61, 2)\n",
      "(62, 62, 31)\n",
      "(63, 18, 14)\n",
      "(63, 22, 6)\n",
      "(63, 28, 24)\n",
      "(63, 36, 8)\n",
      "(63, 36, 36)\n",
      "(63, 42, 14)\n",
      "(63, 42, 34)\n",
      "(63, 48, 36)\n",
      "(63, 54, 2)\n",
      "(63, 54, 42)\n",
      "(63, 54, 54)\n",
      "(63, 56, 48)\n",
      "(64, 14, 8)\n",
      "(64, 16, 2)\n",
      "(64, 32, 8)\n",
      "(64, 33, 12)\n",
      "(64, 41, 28)\n",
      "(64, 44, 23)\n",
      "(64, 44, 32)\n",
      "(64, 47, 16)\n",
      "(64, 48, 18)\n",
      "(64, 48, 39)\n",
      "(64, 49, 8)\n",
      "(64, 52, 16)\n",
      "(64, 52, 43)\n",
      "(64, 57, 24)\n",
      "(64, 60, 15)\n",
      "(64, 60, 48)\n",
      "(64, 64, 32)\n",
      "(65, 42, 30)\n",
      "(65, 44, 20)\n",
      "(65, 64, 52)\n",
      "(66, 18, 9)\n",
      "(66, 19, 18)\n",
      "(66, 20, 12)\n",
      "(66, 26, 3)\n",
      "(66, 33, 22)\n",
      "(66, 34, 27)\n",
      "(66, 38, 21)\n",
      "(66, 38, 33)\n",
      "(66, 42, 11)\n",
      "(66, 42, 21)\n",
      "(66, 43, 6)\n",
      "(66, 47, 18)\n",
      "(66, 48, 8)\n",
      "(66, 55, 30)\n",
      "(66, 57, 26)\n",
      "(66, 60, 12)\n",
      "(66, 62, 9)\n",
      "(66, 62, 57)\n",
      "(66, 63, 18)\n",
      "(66, 66, 33)\n",
      "(67, 16, 4)\n",
      "(67, 36, 12)\n",
      "(67, 56, 32)\n",
      "(67, 64, 8)\n",
      "(67, 66, 42)\n",
      "(68, 11, 4)\n",
      "(68, 24, 24)\n",
      "(68, 27, 24)\n",
      "(68, 28, 26)\n",
      "(68, 36, 3)\n",
      "(68, 38, 4)\n",
      "(68, 41, 16)\n",
      "(68, 44, 1)\n",
      "(68, 45, 24)\n",
      "(68, 54, 36)\n",
      "(68, 62, 44)\n",
      "(68, 68, 34)\n",
      "(69, 30, 30)\n",
      "(69, 32, 12)\n",
      "(69, 34, 18)\n",
      "(69, 38, 6)\n",
      "(69, 42, 6)\n",
      "(69, 50, 42)\n",
      "(69, 56, 48)\n",
      "(69, 58, 30)\n",
      "(70, 23, 14)\n",
      "(70, 25, 10)\n",
      "(70, 26, 7)\n",
      "(70, 28, 20)\n",
      "(70, 30, 21)\n",
      "(70, 33, 30)\n",
      "(70, 38, 35)\n",
      "(70, 40, 40)\n",
      "(70, 42, 15)\n",
      "(70, 50, 13)\n",
      "(70, 50, 49)\n",
      "(70, 56, 8)\n",
      "(70, 60, 60)\n",
      "(70, 65, 26)\n",
      "(70, 66, 63)\n",
      "(70, 70, 1)\n",
      "(70, 70, 35)\n",
      "(71, 12, 12)\n",
      "(71, 22, 10)\n",
      "(71, 48, 24)\n",
      "(71, 54, 18)\n",
      "(72, 9, 8)\n",
      "(72, 12, 1)\n",
      "(72, 16, 6)\n",
      "(72, 24, 4)\n",
      "(72, 24, 13)\n",
      "(72, 24, 18)\n",
      "(72, 27, 4)\n",
      "(72, 36, 9)\n",
      "(72, 36, 24)\n",
      "(72, 36, 33)\n",
      "(72, 40, 21)\n",
      "(72, 45, 4)\n",
      "(72, 48, 9)\n",
      "(72, 48, 16)\n",
      "(72, 48, 46)\n",
      "(72, 52, 24)\n",
      "(72, 52, 39)\n",
      "(72, 54, 48)\n",
      "(72, 56, 12)\n",
      "(72, 56, 33)\n",
      "(72, 56, 54)\n",
      "(72, 60, 25)\n",
      "(72, 61, 36)\n",
      "(72, 62, 24)\n",
      "(72, 63, 16)\n",
      "(72, 64, 18)\n",
      "(72, 64, 51)\n",
      "(72, 66, 8)\n",
      "(72, 69, 16)\n",
      "(72, 69, 44)\n",
      "(72, 72, 6)\n",
      "(72, 72, 36)\n",
      "(72, 72, 49)\n",
      "(72, 72, 69)\n",
      "(73, 14, 10)\n",
      "(73, 36, 36)\n",
      "(73, 54, 6)\n",
      "(73, 64, 40)\n",
      "(73, 66, 42)\n",
      "(73, 70, 70)\n",
      "(74, 10, 7)\n",
      "(74, 21, 18)\n",
      "(74, 27, 6)\n",
      "(74, 33, 18)\n",
      "(74, 40, 32)\n",
      "(74, 47, 46)\n",
      "(74, 58, 31)\n",
      "(74, 59, 58)\n",
      "(74, 65, 10)\n",
      "(74, 72, 24)\n",
      "(74, 74, 37)\n",
      "(75, 30, 6)\n",
      "(75, 32, 24)\n",
      "(75, 50, 30)\n",
      "(75, 54, 22)\n",
      "(75, 58, 6)\n",
      "(75, 60, 24)\n",
      "(76, 12, 3)\n",
      "(76, 23, 16)\n",
      "(76, 28, 1)\n",
      "(76, 32, 16)\n",
      "(76, 36, 18)\n",
      "(76, 42, 36)\n",
      "(76, 43, 32)\n",
      "(76, 52, 13)\n",
      "(76, 53, 8)\n",
      "(76, 54, 12)\n",
      "(76, 62, 28)\n",
      "(76, 65, 32)\n",
      "(76, 68, 2)\n",
      "(76, 68, 25)\n",
      "(76, 74, 68)\n",
      "(76, 76, 38)\n",
      "(77, 34, 22)\n",
      "(77, 38, 14)\n",
      "(77, 44, 28)\n",
      "(77, 44, 44)\n",
      "(77, 52, 4)\n",
      "(77, 54, 42)\n",
      "(77, 66, 18)\n",
      "(77, 66, 66)\n",
      "(77, 68, 56)\n",
      "(77, 70, 14)\n",
      "(78, 11, 6)\n",
      "(78, 21, 6)\n",
      "(78, 24, 8)\n",
      "(78, 36, 4)\n",
      "(78, 39, 26)\n",
      "(78, 46, 9)\n",
      "(78, 50, 21)\n",
      "(78, 50, 45)\n",
      "(78, 54, 5)\n",
      "(78, 54, 45)\n",
      "(78, 57, 46)\n",
      "(78, 62, 39)\n",
      "(78, 65, 54)\n",
      "(78, 66, 13)\n",
      "(78, 66, 57)\n",
      "(78, 66, 61)\n",
      "(78, 67, 6)\n",
      "(78, 71, 18)\n",
      "(78, 73, 6)\n",
      "(78, 74, 51)\n",
      "(78, 78, 39)\n",
      "(79, 16, 8)\n",
      "(79, 18, 18)\n",
      "(79, 46, 38)\n",
      "(79, 58, 14)\n",
      "(79, 76, 68)\n",
      "(79, 78, 30)\n",
      "(80, 20, 16)\n",
      "(80, 32, 26)\n",
      "(80, 35, 32)\n",
      "(80, 36, 15)\n",
      "(80, 38, 16)\n",
      "(80, 40, 10)\n",
      "(80, 43, 20)\n",
      "(80, 48, 30)\n",
      "(80, 48, 36)\n",
      "(80, 55, 40)\n",
      "(80, 64, 23)\n",
      "(80, 64, 50)\n",
      "(80, 65, 20)\n",
      "(80, 68, 1)\n",
      "(80, 75, 60)\n",
      "(80, 80, 14)\n",
      "(80, 80, 40)\n",
      "(80, 80, 68)\n",
      "(81, 18, 2)\n",
      "(81, 28, 24)\n",
      "(81, 36, 8)\n",
      "(81, 42, 18)\n",
      "(81, 52, 12)\n",
      "(81, 54, 18)\n",
      "(81, 70, 42)\n",
      "(81, 72, 24)\n",
      "(81, 72, 32)\n",
      "(81, 76, 48)\n",
      "(82, 22, 19)\n",
      "(82, 26, 13)\n",
      "(82, 29, 2)\n",
      "(82, 39, 6)\n",
      "(82, 46, 31)\n",
      "(82, 48, 24)\n",
      "(82, 49, 26)\n",
      "(82, 56, 56)\n",
      "(82, 59, 46)\n",
      "(82, 60, 60)\n",
      "(82, 71, 58)\n",
      "(82, 74, 11)\n",
      "(82, 82, 41)\n",
      "(83, 22, 14)\n",
      "(83, 26, 2)\n",
      "(83, 64, 52)\n",
      "(83, 66, 54)\n",
      "(83, 76, 32)\n",
      "(83, 80, 20)\n",
      "(84, 12, 5)\n",
      "(84, 14, 12)\n",
      "(84, 18, 4)\n",
      "(84, 24, 17)\n",
      "(84, 28, 9)\n",
      "(84, 28, 21)\n",
      "(84, 30, 12)\n",
      "(84, 36, 22)\n",
      "(84, 42, 4)\n",
      "(84, 42, 28)\n",
      "(84, 43, 36)\n",
      "(84, 47, 12)\n",
      "(84, 48, 7)\n",
      "(84, 48, 21)\n",
      "(84, 48, 29)\n",
      "(84, 48, 48)\n",
      "(84, 51, 12)\n",
      "(84, 52, 21)\n",
      "(84, 56, 3)\n",
      "(84, 60, 35)\n",
      "(84, 60, 38)\n",
      "(84, 63, 36)\n",
      "(84, 63, 56)\n",
      "(84, 64, 27)\n",
      "(84, 64, 48)\n",
      "(84, 68, 33)\n",
      "(84, 69, 8)\n",
      "(84, 70, 12)\n",
      "(84, 72, 9)\n",
      "(84, 72, 23)\n",
      "(84, 72, 49)\n",
      "(84, 72, 56)\n",
      "(84, 72, 72)\n",
      "(84, 78, 28)\n",
      "(84, 81, 32)\n",
      "(84, 82, 12)\n",
      "(84, 84, 7)\n",
      "(84, 84, 23)\n",
      "(84, 84, 42)\n",
      "(84, 84, 62)\n",
      "(85, 30, 30)\n",
      "(85, 32, 20)\n",
      "(85, 42, 6)\n",
      "(85, 70, 14)\n",
      "(85, 80, 8)\n",
      "(86, 13, 2)\n",
      "(86, 30, 27)\n",
      "(86, 36, 12)\n",
      "(86, 38, 31)\n",
      "(86, 46, 17)\n",
      "(86, 47, 14)\n",
      "(86, 49, 2)\n",
      "(86, 53, 46)\n",
      "(86, 59, 38)\n",
      "(86, 70, 5)\n",
      "(86, 72, 48)\n",
      "(86, 76, 52)\n",
      "(86, 77, 70)\n",
      "(86, 86, 43)\n",
      "(87, 26, 6)\n",
      "(87, 46, 42)\n",
      "(87, 60, 40)\n",
      "(87, 62, 6)\n",
      "(87, 66, 42)\n",
      "(87, 68, 24)\n",
      "(87, 72, 4)\n",
      "(87, 76, 36)\n",
      "(87, 78, 6)\n",
      "(87, 84, 4)\n",
      "(87, 84, 60)\n",
      "(87, 84, 80)\n",
      "(87, 86, 66)\n",
      "(88, 16, 10)\n",
      "(88, 24, 12)\n",
      "(88, 28, 11)\n",
      "(88, 29, 8)\n",
      "(88, 33, 24)\n",
      "(88, 39, 12)\n",
      "(88, 41, 40)\n",
      "(88, 44, 11)\n",
      "(88, 54, 24)\n",
      "(88, 55, 16)\n",
      "(88, 56, 28)\n",
      "(88, 56, 46)\n",
      "(88, 56, 53)\n",
      "(88, 64, 34)\n",
      "(88, 64, 43)\n",
      "(88, 72, 69)\n",
      "(88, 76, 13)\n",
      "(88, 77, 4)\n",
      "(88, 80, 16)\n",
      "(88, 80, 70)\n",
      "(88, 84, 24)\n",
      "(88, 84, 63)\n",
      "(88, 88, 44)\n",
      "(89, 18, 6)\n",
      "(89, 42, 42)\n",
      "(89, 52, 20)\n",
      "(89, 62, 58)\n",
      "(89, 68, 64)\n",
      "(89, 82, 22)\n",
      "(89, 88, 88)\n",
      "(90, 10, 9)\n",
      "(90, 18, 15)\n",
      "(90, 22, 21)\n",
      "(90, 27, 14)\n",
      "(90, 30, 5)\n",
      "(90, 45, 22)\n",
      "(90, 45, 30)\n",
      "(90, 50, 3)\n",
      "(90, 51, 18)\n",
      "(90, 52, 36)\n",
      "(90, 54, 3)\n",
      "(90, 54, 47)\n",
      "(90, 55, 18)\n",
      "(90, 57, 10)\n",
      "(90, 60, 20)\n",
      "(90, 60, 36)\n",
      "(90, 63, 34)\n",
      "(90, 65, 30)\n",
      "(90, 70, 15)\n",
      "(90, 72, 40)\n",
      "(90, 75, 54)\n",
      "(90, 81, 50)\n",
      "(90, 82, 75)\n",
      "(90, 90, 21)\n",
      "(90, 90, 31)\n",
      "(90, 90, 45)\n",
      "(91, 48, 36)\n",
      "(91, 52, 52)\n",
      "(91, 58, 26)\n",
      "(91, 62, 14)\n",
      "(91, 68, 28)\n",
      "(91, 78, 42)\n",
      "(91, 78, 78)\n",
      "(92, 11, 8)\n",
      "(92, 13, 4)\n",
      "(92, 34, 28)\n",
      "(92, 36, 21)\n",
      "(92, 40, 31)\n",
      "(92, 40, 40)\n",
      "(92, 44, 2)\n",
      "(92, 44, 25)\n",
      "(92, 56, 8)\n",
      "(92, 60, 6)\n",
      "(92, 71, 56)\n",
      "(92, 74, 44)\n",
      "(92, 75, 60)\n",
      "(92, 76, 49)\n",
      "(92, 79, 44)\n",
      "(92, 84, 57)\n",
      "(92, 86, 4)\n",
      "(92, 89, 16)\n",
      "(92, 90, 60)\n",
      "(92, 91, 56)\n",
      "(92, 92, 46)\n",
      "(93, 24, 24)\n",
      "(93, 36, 16)\n",
      "(93, 42, 14)\n",
      "(93, 44, 36)\n",
      "(93, 66, 34)\n",
      "(93, 72, 36)\n",
      "(93, 74, 6)\n",
      "(93, 80, 24)\n",
      "(93, 88, 36)\n",
      "(93, 92, 24)\n",
      "(94, 26, 17)\n",
      "(94, 28, 28)\n",
      "(94, 31, 2)\n",
      "(94, 42, 3)\n",
      "(94, 46, 37)\n",
      "(94, 53, 26)\n",
      "(94, 56, 32)\n",
      "(94, 58, 11)\n",
      "(94, 59, 2)\n",
      "(94, 64, 8)\n",
      "(94, 66, 63)\n",
      "(94, 70, 67)\n",
      "(94, 81, 42)\n",
      "(94, 83, 50)\n",
      "(94, 87, 54)\n",
      "(94, 90, 15)\n",
      "(94, 94, 47)\n",
      "(95, 26, 10)\n",
      "(95, 40, 20)\n",
      "(95, 44, 8)\n",
      "(95, 60, 12)\n",
      "(95, 90, 6)\n",
      "(96, 12, 7)\n",
      "(96, 18, 8)\n",
      "(96, 21, 12)\n",
      "(96, 24, 3)\n",
      "(96, 27, 16)\n",
      "(96, 29, 12)\n",
      "(96, 32, 24)\n",
      "(96, 37, 36)\n",
      "(96, 38, 24)\n",
      "(96, 42, 16)\n",
      "(96, 44, 27)\n",
      "(96, 48, 12)\n",
      "(96, 48, 19)\n",
      "(96, 48, 32)\n",
      "(96, 48, 44)\n",
      "(96, 51, 8)\n",
      "(96, 58, 48)\n",
      "(96, 60, 53)\n",
      "(96, 64, 12)\n",
      "(96, 66, 48)\n",
      "(96, 72, 22)\n",
      "(96, 72, 27)\n",
      "(96, 72, 35)\n",
      "(96, 72, 50)\n",
      "(96, 72, 64)\n",
      "(96, 75, 28)\n",
      "(96, 78, 24)\n",
      "(96, 78, 40)\n",
      "(96, 80, 3)\n",
      "(96, 84, 77)\n",
      "(96, 88, 27)\n",
      "(96, 88, 66)\n",
      "(96, 90, 72)\n",
      "(96, 90, 80)\n",
      "(96, 92, 3)\n",
      "(96, 92, 33)\n",
      "(96, 96, 8)\n",
      "(96, 96, 48)\n",
      "(96, 96, 92)\n",
      "(97, 14, 14)\n",
      "(97, 40, 4)\n",
      "(97, 54, 30)\n",
      "(97, 64, 56)\n",
      "(97, 82, 74)\n",
      "(97, 84, 48)\n",
      "(97, 94, 58)\n",
      "(97, 96, 12)\n",
      "(98, 14, 1)\n",
      "(98, 20, 20)\n",
      "(98, 28, 4)\n",
      "(98, 35, 14)\n",
      "(98, 39, 18)\n",
      "(98, 42, 9)\n",
      "(98, 55, 50)\n",
      "(98, 56, 16)\n",
      "(98, 56, 56)\n",
      "(98, 62, 41)\n",
      "(98, 69, 42)\n",
      "(98, 70, 25)\n",
      "(98, 70, 61)\n",
      "(98, 71, 22)\n",
      "(98, 73, 14)\n",
      "(98, 74, 7)\n",
      "(98, 75, 30)\n",
      "(98, 78, 21)\n",
      "(98, 78, 69)\n",
      "(98, 84, 36)\n",
      "(98, 84, 84)\n",
      "(98, 86, 35)\n",
      "(98, 91, 86)\n",
      "(98, 98, 49)\n",
      "(99, 16, 12)\n",
      "(99, 22, 18)\n",
      "(99, 30, 18)\n",
      "(99, 36, 28)\n",
      "(99, 44, 12)\n",
      "(99, 54, 38)\n",
      "(99, 66, 2)\n",
      "(99, 66, 22)\n",
      "(99, 72, 12)\n",
      "(99, 72, 52)\n",
      "(99, 88, 12)\n",
      "(99, 90, 18)\n",
      "(99, 90, 70)\n"
     ]
    }
   ],
   "source": [
    "def vectors_with_whole_number_length(max_coord=100):\n",
    "    for x in range(1, max_coord):\n",
    "        for y in range(1, x+1):\n",
    "            for z in range(1, y+1):\n",
    "                if length((x, y, z)).is_integer():\n",
    "                    yield (x, y, z)\n",
    "for i in vectors_with_whole_number_length():\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def dot(u, v):\n",
    "    # 计算点积\n",
    "    return sum([coord1 * coord2 for coord1, coord2 in zip(u, v)])\n",
    "dot((1, 2, 3), (2, 3, 4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.141592653589793"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def angle_between(v1, v2):\n",
    "    return acos(dot(v1, v2)/(length(v1)*length(v2)))\n",
    "angle_between((1, 0), (-1, 0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def random_vector_of_length(l):\n",
    "    # 生成长度一定夹角不同的随机向量\n",
    "    return to_cartesian((l, 2*pi*random()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-4, 0, 0)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def cross(u, v):\n",
    "    # 计算三维向量的向量积\n",
    "    ux, uy, uz = u\n",
    "    vx, vy, vz = v\n",
    "    return (uy*vz - uz*vy, uz*vx - ux*vz, ux*vy - uy*vx)\n",
    "cross((0, 2, 0),(0, 0, -2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1, 2), (2, 3)]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def vertices(faces):\n",
    "    # 返回三维立体的所有点\n",
    "    return list(set([vertex for face in faces for vertex in face]))\n",
    "a = [[(1, 2), (2, 3)]]\n",
    "vertices(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def component(v, direction):\n",
    "    # 计算投影长\n",
    "    return (dot(v, direction)/length(direction))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def vector_to_2d(v):\n",
    "    # 降维处理\n",
    "    return (component(v, (1, 0, 0)), component(v, (0, 1, 0)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "def face_to_2d(face):\n",
    "    # 多向量降维处理\n",
    "    return (vector_to_2d(vertex) for vertex in face)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(0.39391929857916763, 0.9191450300180578)\n",
      "0.9999999999999999\n"
     ]
    }
   ],
   "source": [
    "def unit(v):\n",
    "    # 将向量的模变为1\n",
    "    return scale(1./length(v), v)\n",
    "print(unit((3, 7)))\n",
    "print(length(unit((3, 7))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "def subtract(v1, v2):\n",
    "    # 将向量相减\n",
    "    return (v1[0]-v2[0], v1[1]-v2[1], v1[2]-v2[2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 3, -4)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def normal(face):\n",
    "    # 得到面的法线\n",
    "    return (cross(subtract(face[1], face[0]), subtract(face[2], face[0])))\n",
    "a = [(1, 2, 3), (2, 3, 4), (6, 3, 5)]\n",
    "normal(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "def render(faces, light=(1, 2, 3), color_map=blues, lines=None):\n",
    "    # 渲染三维立体图\n",
    "    polygons = []\n",
    "    for face in faces:\n",
    "        unit_normal = unit(normal(face))\n",
    "        if unit_normal[2] > 0:\n",
    "            c = color_map(1-dot(unit(normal(face)), unit(light)))\n",
    "            p = Polygon2D(*face_to_2d(face), fill=c, color=lines)\n",
    "            polygons.append(p)\n",
    "    draw2d(*polygons, axes=False, origin=False, grid=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 用python进行三维绘图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from draw3d import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(Points3D((2, 2, 2,), (1, -2, -2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "Points3D((2, 2, 2), (1, -2, -2)),\n",
    "Arrow3D((2, 2, 2)),\n",
    "Arrow3D((1, -2, -2)),\n",
    "Segment3D((2, 2, 2), (1, -2, -2))\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "Points3D((2, 2, 2), (1, -2, -2)),\n",
    "Arrow3D((2, 2, 2)),\n",
    "Arrow3D((1, -2, -2)),\n",
    "Segment3D((2, 2, 2), (1, -2, -2)),\n",
    "Box3D(2, 2, 2),\n",
    "Box3D(1, -2, -2)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "Points3D((-1, -2, 2)),\n",
    "Arrow3D((-1, -2, 2)),\n",
    "Box3D(-1, -2, 2)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(-1, -1, -1), (-1, -1, 1), (-1, 1, -1), (-1, 1, 1), (1, -1, -1), (1, -1, 1), (1, 1, -1), (1, 1, 1)]\n",
      "[((1, -1, -1), (-1, -1, -1)), ((1, -1, 1), (-1, -1, 1)), ((1, 1, -1), (-1, 1, -1)), ((1, 1, 1), (-1, 1, 1)), ((-1, 1, -1), (-1, -1, -1)), ((-1, 1, 1), (-1, -1, 1)), ((1, 1, -1), (1, -1, -1)), ((1, 1, 1), (1, -1, 1)), ((-1, -1, 1), (-1, -1, -1)), ((-1, 1, 1), (-1, 1, -1)), ((1, -1, 1), (1, -1, -1)), ((1, 1, 1), (1, 1, -1))]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pml = [-1, 1]\n",
    "vertices = [(x, y, z) for x in pml for y in pml for z in pml]\n",
    "edges = [((1, y, z), (-1, y, z)) for y in pml for z in pml] + \\\n",
    "            [((x, 1, z), (x, -1, z)) for x in pml for z in pml] + \\\n",
    "            [((x, y, 1), (x, y, -1)) for x in pml for y in pml] \n",
    "print(vertices)\n",
    "print(edges)\n",
    "draw3d(Points3D(*vertices, color=blue),\n",
    "      *[Segment3D(*edge) for edge in edges])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 三维空间中的向量运算\n",
    "添加三维向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1, 2, 4), (1, 4, 2), (3, -4, -2)]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(zip(*[(1, 1, 3), (2, 4, -4), (4, 2, -2)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[7, 7, -3]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[sum(coords) for coords in [(1, 2, 4), (1, 4, 2), (3, -4, -2)]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 0, 4)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "add((4, 0, 3), (-1, 0, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "    Arrow3D((4, 0, 3), color=red),\n",
    "    Arrow3D((-1, 0, 1), color=blue),\n",
    "    Arrow3D((3, 0, 4), (4, 0, 3), color=blue),\n",
    "    Arrow3D((-1, 0, 1), (3, 0, 4), color=red),\n",
    "    Arrow3D((3, 0, 4),color=purple)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1, 3, 5), (2, 4, 6)]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vextors1 = [(1, 2, 3, 4, 5), (6, 7, 8, 9, 10)]\n",
    "vectors2 = [(1, 2), (3, 4), (5, 6)]\n",
    "list(zip(*vextors1))\n",
    "list(zip(*vectors2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-4.440892098500626e-16, -7.771561172376096e-16, 7.9999999999999964)\n",
      "(-4.440892098500626e-16, -7.771561172376096e-16, 7.9999999999999964)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from math import sin, cos, pi\n",
    "vs = [(sin(pi*t/6), cos(pi*t/6), 1.0/3) for t in range(0, 24)]\n",
    "print(add(*vs))\n",
    "running_sum = (0, 0, 0)\n",
    "arrows = []\n",
    "for v in vs:\n",
    "    next_sum = add(running_sum, v)\n",
    "    arrows.append(Arrow3D(running_sum, next_sum))\n",
    "    running_sum = next_sum\n",
    "print(running_sum)\n",
    "draw3d(*arrows)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 点积：测量向量对齐"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 3\n",
      "2 4\n",
      "3 5\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = zip((1, 2, 3), (3, 4, 5))\n",
    "for i, c in a:\n",
    "    print(i, c)\n",
    "sum([i*c for i, c in zip((1, 2, 3), (2, 3, 4))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "0\n",
      "18\n",
      "36\n"
     ]
    }
   ],
   "source": [
    "print(dot((1, 0), (0, 2)))\n",
    "print(dot((0, 3, 0), (0, 0, -5)))\n",
    "print(dot((3, 4), (2, 3)))\n",
    "print(dot(scale(2, (3, 4)), (2, 3)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 用点积测量向量角度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.5529142706151244\n"
     ]
    }
   ],
   "source": [
    "from math import pi, cos, sqrt, sin\n",
    "print(3*2*cos(75*pi/180))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dot((-1, -1, 1), (1, 2, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.061679005084208"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "angle_between((-1, -1, 1), (1, 2, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "得证\n"
     ]
    }
   ],
   "source": [
    "a = (1, 2, 3)\n",
    "b = []\n",
    "for i in a:\n",
    "    b.append(i*i)\n",
    "if sum(b) == sqrt(1**2 + 2**2 + 3**2)**2:\n",
    "    print('得证')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "得证\n",
      "得证\n",
      "得证\n"
     ]
    }
   ],
   "source": [
    "from random import random\n",
    "pairs = [(random_vector_of_length(3), random_vector_of_length(7)) for i in range(3)]\n",
    "for u, v in pairs:\n",
    "    if dot(u, v) >= -21 and dot(u, v) <= 21:\n",
    "        print(\"得证\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.0186064362303022"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "3.61*1.44*cos(101.3*pi/180)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2837941092083278\n"
     ]
    }
   ],
   "source": [
    "print(to_polar((3, 4))[1] - to_polar((4, 3))[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "109.47122063449069\n"
     ]
    }
   ],
   "source": [
    "a = sum([i*b for i, b in zip((1, 1, 1),(-1, -1, 1))])\n",
    "b = a/(sqrt(3)**2)\n",
    "print(acos(b)*(180/pi))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  向量积：测定定向区域"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 计算三维向量的向量积"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 0, 0)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross((0, 0, 3),(0, -2, 0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0, 0, 0)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross((1, -2, 1),(-6, 12, -6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0, 0, -7)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross((1, 5, 0),(2, 3, 0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 在二维平面上渲染三维对象"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "octahedron = [\n",
    "    [(1, 0, 0), (0, 1, 0), (0, 0, 1)],\n",
    "    [(1, 0, 0), (0, 0, -1), (0, 1, 0)],\n",
    "    [(1, 0, 0), (0, 0, 1), (0, -1, 0)],\n",
    "    [(1, 0, 0), (0, -1, 0), (0, 0, -1)],\n",
    "    [(-1, 0, 0), (0, 0, 1), (0, 1, 0)],\n",
    "    [(-1, 0, 0), (0, 1, 0), (0, 0, -1)],\n",
    "    [(-1, 0, 0), (0, -1, 0), (0, 0, 1)],\n",
    "    [(-1, 0, 0), (0, 0, -1), (0, -1, 0)],\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n"
     ]
    }
   ],
   "source": [
    "a = (1, 2, 3)\n",
    "ax, ay, az = a\n",
    "print(ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d8003da390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "render(octahedron, color_map=matplotlib.cm.get_cmap('Blues'), lines=black)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d87fd1a320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "top = (0, 0, 1)\n",
    "bottom = (0, 0, -1)\n",
    "xy_plane = [(1, 0, 0), (0, 1, 0), (-1, 0, 0), (0, -1, 0)]\n",
    "edges = [Segment3D(top, p) for p in xy_plane] + \\\n",
    "            [Segment3D(bottom, p) for p in xy_plane] + \\\n",
    "            [Segment3D(xy_plane[i], xy_plane[(i+1)%4]) for i in range(0, 4)]\n",
    "        \n",
    "draw3d(*edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
